The duo, who won silver at last year's World Championships, had been lying down in third after Thursday's ice dance routine.
Their score of 109.15 was almost four points clear of America's Madison Chock and Evan Bates and saw them move to the top of the leaderboard with a combined total of 177.46.
Silver went to Chock and Bates on 176.18 while American siblings Maia and Alex Shibutani slipped down out of gold medal contention after only managing 101.14 from their ice dance.
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Since the start of the 2014-15 season, Weaver and Poje have four international victories including the Grand Prix title and also won the national crown last month.
Weaver said: "It wasn't easy coming from behind, but that's a position that we've been in for seemingly our whole career so it was nothing new to feel like we had to fight for this free dance.
"There is a little bit of extra gusto in there, because the desire to move up and that helped us to perform."
Friday also saw the start of the ladies competition with Japan's Satoko Miyahara toppING the leaderboard following the short program.
Miyahara opened with a triple lutz-triple toe combination and landed all of her other jumps to receive 64.84 points for her routine to Mozart's Magic Flute.
America's Gracie Gold sits second with 62.67 while Miyahara's teammate Rika Hongo currently occupies the bronze medal position on 61.28.
� Sportsbeat 2015
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